We have been given a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. We are asked to find the measure of arc g.
We can see that angle with 38 degrees measure is a secant tangent angle outside the circle.
We know that measure of an angle formed by intersection tangent and secant outside circle is half the difference of intercepted arcs.
[tex]38^{\circ}=\frac{1}{2}(119^{\circ}-g^{\circ})[/tex]
[tex]38^{\circ}\cdot 2=\frac{1}{2}\cdot 2(119^{\circ}-g^{\circ})[/tex]
[tex]76^{\circ}=119^{\circ}-g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}-g^{\circ}+g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}[/tex]
[tex]76^{\circ}-76^{\circ}+g^{\circ}=119^{\circ}-76^{\circ}[/tex]
[tex]g^{\circ}=43^{\circ}[/tex]
Therefore, the measure of smaller arc is 43 and option B is the correct choice.
Which figures can be circumscribed by a circle? Select all that apply.
Answer:
Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have
Option A, B, C are all correct (those figures can be circumscribed by a circle).
Hope this helps!
:)
What is the range for this data set?
37 years
9 years
41 years
Answer:
30 years
Step-by-step explanation:
41 minus 11=
Which shape fits the description below?
A figure with at least one pair of parallel sides.
A. X
B. Z
C. X and Y
D.Y
Answer:C, X and Y
Step-by-step explanation:
I just took the test
Triangle A’B’C’ is the image of triangle ABC.
On a coordinate plane, triangle A B C has points negative 4, negative 1), (negative 5, negative 5), (negative 3, negative 4). Triangle A prime B prime C prime has points (3, 4), (4, 8), (2, 7).
Which transformations could have been used to create A’B’C’ ? Choose all that apply.
a 180Degrees rotation about the origin and then a translation 3 units up and 1 unit left
a translation 3 units up and 1 unit left and then a 180Degrees rotation about the origin
a 90Degrees clockwise rotation about the origin and then a reflection over the y-axis
a 90Degrees counterclockwise rotation about the origin and then a reflection over the x-axis
a translation 3 units down and 1 unit right and then a 180Degrees rotation about the origin
Answer:
Its the First and Last answer on Edg
Step-by-step explanation:
I took the test
A cube has a volume of 0.216 ft?. What is the length of each side of the cube?
Answer:
the answer is 0.054
Are there more 3-digit numbers that can be divided by at least one of the numbers 4, 7, or 9, or 3-digit numbers that cannot be divided by either one of them? I need ASAP! HELP! please provide an explanation.
Answer:
Yes there are more 3-digit numbers that can be divided or not divided by 4, 7, or 9
Step-by-step explanation:
Any real number can be divided by those numbers but you may get decimals as well.
There are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9. Therefore, it's false.
How to compute the number?It should be noted that for a number to be divisible by 9 and 7, it has to be divisible by 63. Therefore, we have all the three digit multiple of 63.
In this case, there are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9.
Learn more about real number on:
https://brainly.com/question/155227
#SPJ2
a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete
Evaluate.
Remember Order of Operations!
PEMDAS)
100 = 5 x
(4 + 2)
ANSWER: 100=5*6
100=30
HOPE IT HELPS!
Answer:
x = 3 1/3
Step-by-step explanation:
Let's go over the order of operations.
P: Parentheses
E: Exponents
M/D: Multiplication/division (in order of appearance)
A/S: Addition/Subtraction (in order of appearance)
100 = 5*(4 + 2)
Since there are values in parentheses, solve those first: 100 .= 5x(6).
Next, multiply 5x by 6. 100 = 30x.
Finally, divide each side by 30 to find the value of x. 3 1/3 = x
Therefore, the value of x is 3 1/3.
(Note: this is assuming the term "x" is a variable, and not the multiplication sign, *.)
I'll mark you the brainlest if you answer this correctly
Answer:
A=14
Use formula A^2+B^2=C^2
Answer:
∠ A ≈ 24°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{MR}{AR}[/tex] = [tex]\frac{6}{15}[/tex] , thus
A = [tex]sin^{-1}[/tex] ([tex]\frac{6}{15}[/tex] ) ≈ 24° ( to the nearest degree )
harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the measures below . which statement is true based on these measures
Answer:
The temperature in Carlton was always cooler than in Borden.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Bob carved this solid out of wood find the volume of the solid
Answer:
640
Step-by-step explanation:
Select the correct answer from each drop-down menu.
sin75° +sin15°=
sin75°-3in15º =
Answer:
Step-by-step explanation:
Answer:
Behold! The web haseth calculators. They work well.
#PlatoAccuracyMatters
Step-by-step explanation:
prove that (tan²y) (cos²y) + 1/sec²y = 1
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1
Consider the left side
tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]
= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product
= sin²y + cos²y
= 1
= right side ⇒ proven
Step-by-step explanation:
[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\
LHS
= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\
\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\
= \sin^2y + \cos^2 y \\\\
= 1\\\\
= RHS\\\\
\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]
Hence Proved
Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP
This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.
Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3
-3 plus -3 = -6
-3 times -3 = 9
So this is why x^2-6x+9 = (x-3)(x-3)
We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.
Answer:
C. (x-3)(x-3)
Step-by-step explanation:
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
Please justify the answer
Answer:
The age of the car in years is the independent variable
The average miles is the dependent variable
Step-by-step explanation:
Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.
Hope this makes sense :)
Question 25
.........................................................
Answer:
its c
Step-by-step explanation:
The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?
Answer:
4,225 acresStep-by-step explanation:
If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;
y is the area of the wetland after x years
In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;
[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]
The area of the wetland in 2 years based on the biologist prediction will be 4225 acres
Answer:
4225
Step-by-step explanation:
The area of a square is 102 square units. What is an
estimated value for the length of a side of the square?
between 10 and 11
between 11 and 12
between 12 and 13
between 13 and 14
Answer:
Between 10 and 11.
Step-by-step explanation:
To begin, we can look at the problem as such. If we take the first answer choice, we can find the squares of both numbers giving us: (Remember that the area of a square is A=L²)
10²= 100
11²= 121
Since the given area is in between these two numbers, this means that the side length must be between 10 and 11.
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answer:
1 room-8hr (with friend)
alone- -12hr
friend working alone- x-12
Here is the base for you
hope this helps
Step-by-step explanation:
What is the factored form of 8x^24-27
Answer: 4.722
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons.
After 8 weeks of voice lessons, how many pieces will Jodi be able to sing in total?
Assume the relationship is directly proportional.
A: 16 pieces
B: 20 pieces
C: 15 pieces
D: 12 pieces
Answer:
A. 16 pieces
Step-by-step explanation:
If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.
2 x 2 =4
8 x 2= 16
Therefore the answer is 16.
Hope this helps and I explained it well enough !
Have a nice day.
-5*(-6)=
-27 divided by 9=
Answer:
-5*(-6) = 30
-27/9 = -3
Step-by-step explanation:
We know a negative times a negative is a positive, a positive times a positive is a positive, and a negative times a negative is a positive. This rule goes the same for division.
Using that rule -5*(-6) = 30. Which is a negative times a negative = positive.
-27/9 = -3 Which is a negative divided by positive = negative
A telescope costs $98. It is on sale for 35% off. What is the cost of the telescope after the discount?
Answer:
To solve this equation first we need to find out how much is 35% of $98.
The percentage of a number is found by multiplying the percentage by the number:
35% x $98 = $34.3
So the 35% off the telescope equals a discount of $34.30.
Now let’s find the price after the discount.
We need to subtract the discount price from the original price:
$98 - $34.30 = $63.70
So we know that the price of the telescope after the discount is $63.70
plzzz mark me brainliest if this helped :)
I need 3 more brainliests to become an expert
please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it
Answer:
27648inches÷64inches=432 tiles
Step-by-step explanation:tiles cost 3456
What is the volume of the cone below?
At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can
Answer:
16 = 2x + 4
Step-by-step explanation:
The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.
Write the following number in scientific notation:
0.0000487
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
The answer is 4.87 x 10^-5
Find the 40th term of this arithmetic sequence 4,9,14,19
Answer:
199
Step-by-step explanation:
I believe it's 199. The interval is just 5.
Answer:
the answer is going to be more than 11111111111119 (this is the 26th term)
Step-by-step explanation:
Find the first five multiples of the number 5.
A. 10, 15, 20, 25, 30
B. 5, 10, 15, 20, 25
c. 1, 5, 10, 15, 20
D. 5, 15, 25, 35, 45
Answer:
B. 5,10,15,20,25
Step-by-step explanation:
The first 5 multiples of a number are that number multiplied by 1-5 so
5(1),5(2),5(3),5(4),5(5) so
5,10,15,20,25 so
B. 5,10,15,20,25
Answer:
5,10,15,20,25
Step-by-step explanation:
How do u not know this ur in middle school